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All Trees Are Six-cordial by Driscoll, Keith; Krop, Elliot; Nguyen, Michelle is a scholarly article available to read on EtoBox.

What is All Trees Are Six-cordial about?

For any integer $k>0$, a tree $T$ is $k$-cordial if there exists a labeling of the vertices of $T$ by $\mathbb{Z}_k$, inducing a labeling on the edges with edge-weights found by summing the labels on vertices incident to a given edge modulo $k$ so that each label appears on at most one more vertex than any other and each edge-weight appears on at most one more edge than any other. We prove that all trees are six-cordial by an adjustment of the test proposed by Hovey (1991) to show all trees are $k$-cordial.

Author

Driscoll, Keith; Krop, Elliot; Nguyen, Michelle

Published

2016

Language

EN